Accession Number : ADA329463

Title :   The Correlation Structure of Randomly Oriented 1,2,....,N Dimensional Waves

Descriptive Note : Scientific rept. no. 6

Corporate Author : HUGHES STX CORP LANHAM MD

Personal Author(s) : Boehm, Albert R.

PDF Url : ADA329463

Report Date : 07 MAY 1997

Pagination or Media Count : 30

Abstract : Here, a wave is defined as a periodic function in one or more dimensions. The superimposition of waves can be used to generate a Gaussian field which in turn can be used to simulate a meteorological field. For this field to resemble a natural field, the correlation structure in the Gaussian field must resemble the natural field correlation structure. For N dimensional waves of a single wavelength that are uniformly distributed with respect to phase and orientation, the homogeneous isotropic correlation can be found by integrating the one dimensional correlation weighted by the density of the N dimensional direction cosine distribution. This has been done for the sine/cosine, sawtooth, and triangular waves and graphs and equations are given. The triangular wave correlation closely resembles the sine/cosine correlation with possible implications for objective analysis. When coordinate systems are stretched and waves of different wavelengths and types are combined, a wide variety of nonhomogenous anisotropic correlation structure results.

Descriptors :   *COMPUTERIZED SIMULATION, *ATMOSPHERE MODELS, *WAVE EQUATIONS, CORRELATION, APPLIED MATHEMATICS, CLIMATOLOGY, PERIODIC FUNCTIONS, NORMAL DISTRIBUTION.

Subject Categories : Operations Research
      Meteorology

Distribution Statement : APPROVED FOR PUBLIC RELEASE